Dear Colin
I am not sure that is cheating ... You may not have noticed, but the
*philosophy of
AI* is being attacked predatorily here! The information metrics associated
with our *Discrete Best-fit Operators*, replaces the *deterministic QM
operators*. *The latter* only works if you know the *deterministic Law of
Physics* to begin with... That is, you can predict an outcome if you
already *know the answer *to the *deterministic question* you are posing... *if
you don't know the answer to begin* with,* the result is invalid*.
The* best-fit
operators*, in contrast, give you *the best predictors*, based on a* given
("learning") data set*. The data can be based on a joint effect of many
"Laws of Physics" and the system will always provide you with the best
possible predictor of future results. As far as I understand it, AI does
not even try to come with a basic operator to predict its future outcome.
AI has no true theoretical basis other than people being pleased with the
results.... There is *no true understanding* of how to compress a process
of "*learning*". In that sense, my *best-fit discrete operators* are
necessarily better in terms of understanding the* gist of a "learning" set*.
To understand what I'm talking about, you (unfortunately) need to go
through the mathematics that I described in (*part 3*) of my "
*symmetric-sampling*" series (https://osf.io/preprints/osf/7kumt_v1).
Tons of homework to do...!
Sorry for that!
Cheers
Marin
And yes... We should probably follow the trends of modern science and do a
("go-fund-us") to keep our students fed! đ§
On Mon, Oct 6, 2025 at 1:26âŻPM Nave, Colin (DLSLtd,RAL,LSCI) <
[email protected]> wrote:
> Dear Marin,
>
> I cheated and asked a LLM view of what you were saying by feeding it the
> email, rather than the series of papers. Is this a fair representation.?
>
> Regards
>
> Colin
>
> *Cryo-Electron Microscopy (Cryo-EM)* is a technique for imaging
> biological molecules at near-atomic resolution. Electron counting cameras
> are advanced detectors that count individual electrons rather than
> measuring their cumulative energy. This leads to more precise imaging.
>
>
>
> *The Measurement Problem in Quantum Mechanics*
>
> The Measurement Problem refers to the puzzle of how and why quantum
> systems appear to "collapse" into a definite state when measuredâdespite
> being described by probabilistic wavefunctions before measurement. It's a
> central philosophical issue in quantum theory.
>
>
>
> *Claim: Measurement Problem Is Not Unique to Quantum Mechanics*
>
> The statement argues that the measurement problem isn't just a quantum
> issueâit already existed in classical physics. Here's how:
>
> - Classical Newtonian Physics is deterministic: given initial
> conditions, the future is fully predictable.
> - Yet, measurement in practice always involves uncertainty, noise, and
> sampling limitations.
> - This creates a tension: how can we reconcile perfect mathematical
> determinism with imperfect real-world measurements?
>
>
>
> *Shannonâs Sampling Theorem Connection*
>
> Shannonâs sampling theorem (from information theory) states that to
> perfectly reconstruct a signal, you must sample it at twice its highest
> frequency (the Nyquist rate). If you sample incorrectly, you get
> aliasingâdistorted or misleading results.
>
> This implies:
>
> - Measurement is inherently tied to sampling rules.
> - If you violate these rules, you misrepresent realityâeven in
> classical systems.
>
>
>
> *Cryo-EMâs Unexpected Link*
>
> Electron counting cameras in Cryo-EM are measurement devices. The claim is
> that:
>
> - Their operation exposes fundamental limits of measurementânot just
> technical ones, but philosophical ones.
> - They highlight the need for symmetric samplingâmeaning measurements
> must be taken in a way that respects the underlying structure of the system
> (e.g., time symmetry, spatial resolution).
>
>
>
> *Summary Interpretation*
>
> This passage is making a bold philosophical claim:
>
> - The measurement problem is universalânot just quantum.
> - It arises from the gap between mathematical models and physical
> reality.
> - Cryo-EM, through its precision and reliance on electron counting,
> reveals this gap in a tangible way.
> - All measurementsâwhether in physics, biology, or information
> theoryâmust obey sampling principles to avoid misrepresenting the system.
>
>
>
>
>
> *From:* CCP4 bulletin board <[email protected]> *On Behalf Of *Marin
> van Heel
> *Sent:* 04 October 2025 23:13
> *To:* [email protected]
> *Subject:* [ccp4bb] Single Electron Counting, The Measurement Problem,
> Symmetric Sampling
>
>
>
> You don't often get email from
> [email protected]. Learn why this is important
> <https://aka.ms/LearnAboutSenderIdentification>
>
>
>
> Dear All,
>
> Electron counting cameras in Cryo-EM have an unexpected direct connection
> to the Measurement Problem in Quantum Mechanics. In fact, the measurement
> problem already existed in Classical Newtonian Physics due to its
> Deterministic Mathematical Axioms and is not specifically tied to Quantum
> Mechanics. The Measurement Problem also existed in Shannonâs sampling
> theorem. All measurements, and not only those in Electron Microscopy must
> adhere to symmetric-sampling rules. Check the link to a series of papers:
>
> https://www.linkedin.com/feed/update/urn:li:activity:7379515419424022528/
>
> Sorry, I know it is tough stuffâŚ
>
> Marin
>
>
>
>
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